Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825j |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22560768 |
Modular degree for the optimal curve |
Δ |
-2.5298979955209E+26 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,153590475,-220964283000] |
[a1,a2,a3,a4,a6] |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
3.1823294290925 |
L(r)(E,1)/r! |
Ω |
0.03182329432115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965o1 9975l1 |
Quadratic twists by: 5 -7 |